17784
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 54600
- Proper Divisor Sum (Aliquot Sum)
- 36816
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 1482
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 185
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = Fibonacci(n+1) + prime(n).at n=20A004398
- Bond percolation series for square lattice.at n=17A006727
- Theta series of A*_8 lattice.at n=43A023920
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= -5, with F(-n)=(-1)^(n+1)*F(n);.at n=23A037141
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x9^2 = n.at n=29A045851
- a(n) = 12*n*(n-1).at n=39A064200
- 9 times octagonal numbers: a(n) = 9*n*(3*n-2).at n=26A064201
- Records in A065925.at n=24A065927
- a(n) = the maximum number of lattice points touched by an origin-centered 4d-sphere with radius <= n.at n=29A071345
- One half of A075178.at n=37A075179
- a(n) = A000217(A000217(n))-n^2.at n=19A086602
- Period of the Lucas 4-step sequence A073817 mod n.at n=34A106295
- Triangle A124029 with the (0,0) entry replaced by 4.at n=30A123966
- Triangle T(n,k) with the coefficient [x^k] of the characteristic polynomial of the following n X n triangular matrix: 4 on the main diagonal, -1 of the two adjacent subdiagonals, 0 otherwise.at n=30A124029
- Records in A000118.at n=34A128690
- Sum of divisors of the number of partitions of n.at n=32A139041
- 4 times 9-gonal numbers: a(n) = 2*n*(7*n-5).at n=36A152760
- Number of n X n arrays of squares of integers summing to 29.at n=1A159423
- Expansion of (chi(q) / chi^3(q^3))^2 in powers of q where chi() is a Ramanujan theta function.at n=36A164614
- Triangle of coefficients of Chebyshev's S(n,x+4) polynomials (exponents of x in increasing order).at n=30A207823